What is the Least Common Multiple of 22829 and 22843?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22829 and 22843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22829 and 22843, than apply into the LCM equation.

GCF(22829,22843) = 1
LCM(22829,22843) = ( 22829 × 22843) / 1
LCM(22829,22843) = 521482847 / 1
LCM(22829,22843) = 521482847

Least Common Multiple (LCM) of 22829 and 22843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22829 and 22843. First we will calculate the prime factors of 22829 and 22843.

Prime Factorization of 22829

Prime Factorization of 22843

Now multiplying the highest exponent prime factors to calculate the LCM of 22829 and 22843.

LCM(22829,22843) = 37¹ × 617¹ × 53¹ × 431¹
LCM(22829,22843) = 521482847